Answer: 70 degrees.
Angles in a triangle add up to 180. In triangle 1, the angles provided add to 125, leaving 55 degrees for the remaining angle in triangle 1.
Now, angles on a straight line also add to 180, and we have 50 and 55, giving us a total of 105. This means the remaining angle on the line, and the second angle inside the triangle, is 75 degrees. We must now add 75 and 35, to give us 110 degrees. 180 (as that is the total of angles in a triangle) -110 gives us 70. Thus, the answer is 70 degrees.